Host Ira Glass talks with science writer Paul Hoffman about a mathematician named Frank Nelson Cole, who demonstrated a groundbreaking idea at a conference in 1903. Paul explains that in addition to their celebrated breakthroughs, many of the greatest thinkers in history have entertained some very crazy ideas.

One day a successful cancer researcher named Jonathan Brody gave a talk at his alma mater, about how people in his field need to think outside the box if they're going to find a cure. Afterward Jonathan's old music teacher Anthony Holland shared an idea that was way out of the box: Killing cancer cells with electromagnetic waves. Gabriel Rhodes tells what happened next.

We sent a reporter named Dan Grech to the Hundred Year Starship Public Symposium, which aims to tackle the technological problems related to interstellar space travel. And as host Ira Glass explains, Dan found this gathering to be way more adventurous than your average scientific conference.

There's a derogatory term in Silicon Valley for companies that amass huge troves of patents and make money by threatening lawsuits: "patent trolls." When Jeff Kelling's Internet company Fototime was sued - along with more than 130 other companies - for violating someone's patent, he wondered if it was a troll (which the company denies), and then settled out of court.

Laura and Alex continue their story about Intellectual Ventures and the practice of patent trolling. They learn why the buying and selling of patents is likely to continue being a huge, controversial business that affects the entire tech industry.